1.

Infinite number of masseseach of 2 kg are placed along x-axis at distance 1m, 2m, 4m, 8m …….. from the origin O, what is the magnitude of gravitational potential at 'O'? (G = gravitational constant) :

Answer»

`-G`
`-2G`
`-3G`
`-4G`.

Solution :`V=V_(1)+V_(2)+V_(3)+…………….`
`=-GM[(1)/(1)+(1)/(2)+(1)/(4)+(1)/(8)+………….]`
`=-GM[(1)/(1-(1)/(2))]=-GMxx2=-Gxx2xx2=-4G`
Thus CORRECT CHOICE is (d).


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